You have a rectangular area array having a maximum area with a piece of wire L centimeters long. What will be the width and height of the rectangle? The width and height of the rectangle can have an infinite number of possibilities. To understand this problem, we must first identify the alternatives, that is, define the width and height of the rectangle as continuous algebraic variables. Solve this Exercise to find the width and height of the rectangle maximizing the area of ​​the piece of wire. w = width of the rectangle in centimeters h = height of the rectangle in centimeters To solve this exercise use the Lagrange equation.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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You have a rectangular area array having a maximum area with a piece of wire L centimeters long. What will be the width and height of the rectangle?
The width and height of the rectangle can have an infinite number of possibilities. To understand this problem, we must first identify the alternatives, that is, define the width and height of the rectangle as continuous algebraic variables.
Solve this Exercise to find the width and height of the rectangle maximizing the area of ​​the piece of wire.
w = width of the rectangle in centimeters
h = height of the rectangle in centimeters

To solve this exercise use the Lagrange equation.

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